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Lower Scalar Curvature Bounds for C^0 Metrics - A Ricci Flow Approach

Harvard CMSA via YouTube

Overview

Watch this mathematics research lecture from the General Relativity Workshop where Paula Burkhardt-Guim from NYU explores the generalization of lower scalar curvature bounds to C^0 metrics through a localized Ricci flow approach. Discover how Ricci flow definitions remain stable under greater-than-second-order metric perturbations, learn about the existence of Ricci flows with C^0 initial data that become smooth for positive times, and understand how weak lower scalar curvature bounds are preserved when evolving from C^0 initial data through Ricci flow. Gain insights into recent developments in differential geometry and general relativity through this technical presentation that bridges theoretical mathematics with physical applications.

Syllabus

Paula Burkhardt Guim | Lower scalar curvature bounds for C^0 metrics: A Ricci flow approach

Taught by

Harvard CMSA

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